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- Degree_of_a_continuous_mapping abstract "In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping. The degree is always an integer, but may be positive or negative depending on the orientations.The degree of a map was first defined by Brouwer, who showed that the degree is a homotopy invariant (invariant among homotopies), and used it to prove the Brouwer fixed point theorem. In modern mathematics, the degree of a map plays an important role in topology and geometry. In physics, the degree of a continuous map (for instance a map from space to some order parameter set) is one example of a topological quantum number.".
- Degree_of_a_continuous_mapping thumbnail Sphere_wrapped_round_itself.png?width=300.
- Degree_of_a_continuous_mapping wikiPageExternalLink topdeg.
- Degree_of_a_continuous_mapping wikiPageID "3094450".
- Degree_of_a_continuous_mapping wikiPageRevisionID "605890773".
- Degree_of_a_continuous_mapping hasPhotoCollection Degree_of_a_continuous_mapping.
- Degree_of_a_continuous_mapping id "p/b130260".
- Degree_of_a_continuous_mapping title "Brouwer degree".
- Degree_of_a_continuous_mapping subject Category:Algebraic_topology.
- Degree_of_a_continuous_mapping subject Category:Continuous_mappings.
- Degree_of_a_continuous_mapping subject Category:Differential_topology.
- Degree_of_a_continuous_mapping type Abstraction100002137.
- Degree_of_a_continuous_mapping type ContinuousMappings.
- Degree_of_a_continuous_mapping type Function113783816.
- Degree_of_a_continuous_mapping type MathematicalRelation113783581.
- Degree_of_a_continuous_mapping type Relation100031921.
- Degree_of_a_continuous_mapping comment "In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping.".
- Degree_of_a_continuous_mapping label "Abbildungsgrad".
- Degree_of_a_continuous_mapping label "Degree of a continuous mapping".
- Degree_of_a_continuous_mapping label "Degré d'une application".
- Degree_of_a_continuous_mapping label "Grado topologico".
- Degree_of_a_continuous_mapping label "Stopień Brouwera".
- Degree_of_a_continuous_mapping label "Степень отображения".
- Degree_of_a_continuous_mapping label "写像度".
- Degree_of_a_continuous_mapping label "映射度".
- Degree_of_a_continuous_mapping sameAs Abbildungsgrad.
- Degree_of_a_continuous_mapping sameAs Degré_d'une_application.
- Degree_of_a_continuous_mapping sameAs Grado_topologico.
- Degree_of_a_continuous_mapping sameAs 写像度.
- Degree_of_a_continuous_mapping sameAs 연속함수의_차수.
- Degree_of_a_continuous_mapping sameAs Stopień_Brouwera.
- Degree_of_a_continuous_mapping sameAs m.08r0z9.
- Degree_of_a_continuous_mapping sameAs Q306564.
- Degree_of_a_continuous_mapping sameAs Q306564.
- Degree_of_a_continuous_mapping sameAs Degree_of_a_continuous_mapping.
- Degree_of_a_continuous_mapping wasDerivedFrom Degree_of_a_continuous_mapping?oldid=605890773.
- Degree_of_a_continuous_mapping depiction Sphere_wrapped_round_itself.png.
- Degree_of_a_continuous_mapping isPrimaryTopicOf Degree_of_a_continuous_mapping.
